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Finding the Third Proportional to 12,763,710,120 and 19,606,621,500

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Solution

The third proportional to 12,763,710,120 and 19,606,621,500 is: 30,118,171,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763,710,120 : 19,606,621,500 = 19,606,621,500 : x
  2. Step 2: Convert to fraction form
    12,763,710,120/19,606,621,500 = 19,606,621,500/x
  3. Step 3: Cross multiply
    12,763,710,120x = 19,606,621,500 × 19,606,621,500
  4. Step 4: Simplify right side
    12,763,710,120x = 384,419,606,644,262,240,256
  5. Step 5: Solve for x
    x = 384,419,606,644,262,240,256/12,763,710,120
  6. Step 6: Final answer
    x = 30,118,171,208.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.